Lesson 3 Practice Problems

What is the mathematically correct definition of a circle?

• A round shape with no sides

• The set of all points equidistant from one point

• A curve with no ends

• A curved line segment where the two ends meet

This diagram is a straightedge and compass construction. A is the center of one circle, and B is the center of the other. Select ALL the true statements.

• Line CD is perpendicular to segment AB

• Point M is the midpoint of segment AB

• The length of AB is equal to the length of CD

• Segment AM is perpendicular to segment BM

• CB + BD > CD

  (the length of CB + the length of BD > the length of CD)

In this diagram, line segment CD is the perpendicular bisector of line segment AB. Is point E closer to point A, closer to point B, or the same distance between the points? Explain how you know.

In the diagram provided, A is the center of one circle and B is the center of the other circle. Select ALL statements that are true.

• AC > AB

• Triangle ABC is equilateral

• Circle B and A are the same size

• Triangle ABC is obtuse

• AB = BC = CA

This diagram was created by starting with points C and D and using only a straightedge and compass to construct the rest. All steps of the construction are visible. Select ALL the steps needed to produce this diagram.

• Construct a circle centered at A and a same size circle centered at B

• Construct a circle centered at C and a same size circle centered at D

• Label the intersection points of the circles as A and B

• Draw the line through points C and D

• Draw the line through points A and B

This diagram was constructed with a straightedge and compass tools. A is the center of one circle, and C is the center of the other. Select ALL true statements.

• AB = BC

• AB = BD

• AD = 2*AC

• BC = CD

• BD = CD

What is the difference between a line and line segment?